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Finding the Third Proportional to 39,760 and 61,800

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Solution

The third proportional to 39,760 and 61,800 is: 96,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760 : 61,800 = 61,800 : x
  2. Step 2: Convert to fraction form
    39,760/61,800 = 61,800/x
  3. Step 3: Cross multiply
    39,760x = 61,800 × 61,800
  4. Step 4: Simplify right side
    39,760x = 3,819,240,000
  5. Step 5: Solve for x
    x = 3,819,240,000/39,760
  6. Step 6: Final answer
    x = 96,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.